Evaluate: lim (x -> infinity) of (1 + 3/x)^(2x).
Answer and explanation
Correct answer: A. e^6
- Step 1: Standard limit identity: lim (x -> infinity) of (1 + a/x)^(bx) = e^(a b). Step 2. Here a = 3 and b = 2. Step 3. Limit = e^(3 2) = e^6. Answer: e^6. Why not the others: e^3 neglects factor 2; e^2 neglects factor 3.
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